The nonlinear Wannier function in square Kr?nig--Penney model
Xue Rui(薛锐)a), Liang Zhao-Xin(梁兆新)b), and Li Wei-Dong(李卫东)a)†
a Institute of Theoretical Physics and Department of Physics, Shanxi University, Taiyuan 030006, China; b Shenyang National Laboratory for Materials Science, Institute of Metal Research, Chinese Academy of Sciences, Shenyang 110016, China
Abstract The nonlinear Wannier functions in square Kr?nig-Penney potential are investigated with the help of a set of exact nonlinear Bloch solutions. The nonlinear interaction makes the Wannier functions fall off as non-exponential law with distance and enhances the tunneling coupling between the neighbor sites.
Received: 05 March 2009
Revised: 17 April 2009
Accepted manuscript online:
PACS:
03.75.Lm
(Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)
(Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow)
Fund: Project supported by the National
Natural Science Foundation of China (Grant No 10674087), 973 Program
(Grant Nos 2006CB921603 and 2008CB317103), the Natural Science
Foundation of Shanxi Province of China (Grant No 200611004), NCET
(NCET-06-0259) and IMR
Cite this article:
Xue Rui(薛锐), Liang Zhao-Xin(梁兆新), and Li Wei-Dong(李卫东) The nonlinear Wannier function in square Kr?nig--Penney model 2009 Chin. Phys. B 18 4130
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